Answer: Option 'A' is correct.
Step-by-step explanation :
Since we have given that
Number of medals = 2
Number of runners = 8
We need to find the number of ways to award the medals.
We would use "fundamental theorem of counting" to find the number of ways.
So, number of ways is given by
8 × 7 = 56
Hence, option 'A' is correct.
Number of sides= 10
Side length= 4.6 ( or in this case base)
161 sq inches / 10 = 16.1 area of triangle.
Area of triangle =(b<span>ase * </span>height)/2
16.1=(4.6*h)/2
multiply 16.1 by 2 (cancels the dividing the 2)
32.2=4.6*h
divid 32.2 by 4.6
<span>7 is the height of the triangle</span>
Answer:
146°
Step-by-step explanation:
Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.
Solution:
Given that:
arc AB = 64° and ⦣ABC=73°
The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle is any point along the outer arc AB and the two points A and B.
Therefore arc AC is the central angle of ⦣ABC. Using the central angle theorem gives:
arc AC = 2 * ⦣ABC
substituting:
arc AC = 2 * 73
arc AC = 146°
The answer is A! Hope you have a nice day <3
